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Finding the Fourth Proportional to 417.05, 574.14 and 306.38

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Solution

The fourth proportional to 417.05, 574.14 and 306.38 is: 421.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.05 : 574.14 = 306.38 : x
  2. Step 2: Convert to fraction form
    417.05/574.14 = 306.38/x
  3. Step 3: Cross multiply
    417.05x = 574.14 × 306.38
  4. Step 4: Simplify right side
    417.05x = 175,905.87
  5. Step 5: Solve for x
    x = 175,905.87/417.05
  6. Step 6: Final answer
    x = 421.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.